How do you find the slope and intercept of #2x+5y=10#?

1 Answer
Apr 16, 2018

Answer:

#"slope "=-2/5," y-intercept "=2#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"rearrange "2x+5y=10" into this form"#

#"subtract 2x from both sides"#

#cancel(2x)cancel(-2x)+5y=-2x+10#

#rArr5y=-2x+10#

#"divide all terms by 5"#

#rArry=-2/5x+2larrcolor(blue)"in slope-intercept form"#

#"with slope "=-2/5" and y-intercept "=2#